Scientific (Exponential) Notation (1.4.1)

Question 1

• Scientific notation is an efficient means of expressing extremely large and small numbers.

Answer 1

• Scientific notation is an efficient means of expressing extremely large and small numbers.

Question 2

• To add numbers in scientific notation, they must both be expressed to the same power of ten.

Answer 2

• To add numbers in scientific notation, they must both be expressed to the same power of ten.

Question 3

• To multiply or divide numbers in scientific notation, consider the number and power parts separately.

Answer 3

• To multiply or divide numbers in scientific notation, consider the number and power parts separately.

Question 4

• For powers and roots of numbers in scientific notation, consider the number and power parts separately.

Answer 4

• For powers and roots of numbers in scientific notation, consider the number and power parts separately.

Question 5

In scientific notation, numbers are expressed in the
form r x 10^t, where r is a number greater than or
equal to one and less than ten and t is an integer.
For example, Avogadro’s number can be
expressed in scientific notation as 6.022 x 1023.
If the decimal point is moved to the left, t is a
positive integer. If the decimal point is moved to the
right, t is a negative exponent.

Answer 5

In scientific notation, numbers are expressed in the
form r x 10^t, where r is a number greater than or
equal to one and less than ten and t is an integer.
For example, Avogadro’s number can be
expressed in scientific notation as 6.022 x 1023.
If the decimal point is moved to the left, t is a
positive integer. If the decimal point is moved to the
right, t is a negative exponent.

Question 6

To add numbers in scientific notation, they must
both be expressed to the same power of ten. For
example, to add 3.94 and 6.7 x 10–1, express both
to the same power of ten. Once both numbers are expressed to the same power of ten, simply add them together. If the result is no longer in proper scientific notation, the decimal place might have to be moved to the left or right and the power of ten adjusted accordingly.

Answer 6

To add numbers in scientific notation, they must
both be expressed to the same power of ten. For
example, to add 3.94 and 6.7 x 10–1, express both
to the same power of ten. Once both numbers are expressed to the same power of ten, simply add them together. If the result is no longer in proper scientific notation, the decimal place might have to be moved to the left or right and the power of ten adjusted accordingly.

Question 7

To multiply or divide numbers in scientific notation,
consider the number and power parts separately.

(MULTIPLY THE NUMBERS, ADD/SUBTRACT THE POWERS)

Answer 7

To multiply or divide numbers in scientific notation,
consider the number and power parts separately.

(MULTIPLY THE NUMBERS, ADD/SUBTRACT THE POWERS)

Question 8

For powers and roots of numbers in scientific
notation, consider the number and power parts
separately.

To raise a number in scientific notation (r x 10^t) to
the power b, raise r to the b and multiply t times b.

Answer 8

For powers and roots of numbers in scientific
notation, consider the number and power parts
separately.

To raise a number in scientific notation (r x 10^t) to
the power b, raise r to the b and multiply t times b.

Question 9

Similarly, to take the bth root of a number in
scientific notation (r x 10^t), take the bth root of r and
divide t by b.

Answer 9

Similarly, to take the bth root of a number in
scientific notation (r x 10^t), take the bth root of r and
divide t by b.